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Finding the Fourth Proportional to 7,846.10, 11,824.26 and 7,067.08

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Solution

The fourth proportional to 7,846.10, 11,824.26 and 7,067.08 is: 10,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.10 : 11,824.26 = 7,067.08 : x
  2. Step 2: Convert to fraction form
    7,846.10/11,824.26 = 7,067.08/x
  3. Step 3: Cross multiply
    7,846.10x = 11,824.26 × 7,067.08
  4. Step 4: Simplify right side
    7,846.10x = 83,562,991.36
  5. Step 5: Solve for x
    x = 83,562,991.36/7,846.10
  6. Step 6: Final answer
    x = 10,650.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.